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Finding the Fourth Proportional to 328,121.72, 492,231.80 and 117,808.86

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Solution

The fourth proportional to 328,121.72, 492,231.80 and 117,808.86 is: 176,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,121.72 : 492,231.80 = 117,808.86 : x
  2. Step 2: Convert to fraction form
    328,121.72/492,231.80 = 117,808.86/x
  3. Step 3: Cross multiply
    328,121.72x = 492,231.80 × 117,808.86
  4. Step 4: Simplify right side
    328,121.72x = 57,989,269,354.14
  5. Step 5: Solve for x
    x = 57,989,269,354.14/328,121.72
  6. Step 6: Final answer
    x = 176,730.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.